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Vl-arithclass-p

Vl-integer-arithclass->exprsign

Signature
(vl-integer-arithclass->exprsign x) → sign
Arguments: x — Guard (vl-arithclass-p x).
Returns: sign — Type (vl-exprsign-p sign).

Definitions and Theorems

Function: vl-integer-arithclass->exprsign$inline

(defun vl-integer-arithclass->exprsign$inline (x)
  (declare (xargs :guard (vl-arithclass-p x)))
  (declare (xargs :guard (vl-integer-arithclass-p x)))
  (let ((__function__ 'vl-integer-arithclass->exprsign))
    (declare (ignorable __function__))
    (if (vl-arithclass-equiv x :vl-signed-int-class)
        :vl-signed
      :vl-unsigned)))

Theorem: vl-exprsign-p-of-vl-integer-arithclass->exprsign

(defthm vl-exprsign-p-of-vl-integer-arithclass->exprsign
  (b* ((sign (vl-integer-arithclass->exprsign$inline x)))
    (vl-exprsign-p sign))
  :rule-classes :rewrite)

Theorem: vl-integer-arithclass->exprsign$inline-of-vl-arithclass-fix-x

(defthm
      vl-integer-arithclass->exprsign$inline-of-vl-arithclass-fix-x
 (equal
      (vl-integer-arithclass->exprsign$inline (vl-arithclass-fix x))
      (vl-integer-arithclass->exprsign$inline x)))

Theorem: vl-integer-arithclass->exprsign$inline-vl-arithclass-equiv-congruence-on-x

(defthm
 vl-integer-arithclass->exprsign$inline-vl-arithclass-equiv-congruence-on-x
 (implies (vl-arithclass-equiv x x-equiv)
          (equal (vl-integer-arithclass->exprsign$inline x)
                 (vl-integer-arithclass->exprsign$inline x-equiv)))
 :rule-classes :congruence)